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Finding the Fourth Proportional to 26,978.80, 40,468.20 and 15,120.40

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Solution

The fourth proportional to 26,978.80, 40,468.20 and 15,120.40 is: 22,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.80 : 40,468.20 = 15,120.40 : x
  2. Step 2: Convert to fraction form
    26,978.80/40,468.20 = 15,120.40/x
  3. Step 3: Cross multiply
    26,978.80x = 40,468.20 × 15,120.40
  4. Step 4: Simplify right side
    26,978.80x = 611,895,371.28
  5. Step 5: Solve for x
    x = 611,895,371.28/26,978.80
  6. Step 6: Final answer
    x = 22,680.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.